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m_a_m_a [10]
1 year ago
9

Factor completely 4x^2 − 32

Mathematics
1 answer:
Blababa [14]1 year ago
4 0

Answer: 4(x+2\sqrt{2})(x-2\sqrt{2})

Step-by-step explanation:

We can first take out the common factor of 4, as both 4x² and -32 are divisible by 4.

4(x^2-8)

From here, we can assume that x²-8 is a difference of two squares even though 8 is not a perfect square.

<em>For review, a difference of two squares </em>a^2-b^2 can be factored into (a+b)(a-b).

4(x^2-8)\\4(x+\sqrt{8})(x-\sqrt{8})\\4(x+2\sqrt{2})(x-2\sqrt{2})

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3 years ago
Hi, I don't feel very confident about my work in this calculus problem and I would appreciate it if anyone else could note any c
Lostsunrise [7]
You're pretty close. It's all in the details.

A. Correct.

B. Correct.

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3 years ago
A square garden with side length of 50 has a square shaped fountain display with length of 12 feet at the exact center of garden
nadezda [96]

Answer:

The area of the garden is 2356\ ft^2

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<u>Area of a Square</u>

Given a square of a side length of x, the area is calculated as:

A = x^2

There is a square garden area of a side length of x=50 feet. The area is:

A_1=50^2=2500\ ft^2

Inside of it, there is another square area for a fountain display of a side length of 12 feet. The area is:

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The area of the garden is the difference between A2 and A1:

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3 years ago
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Step-by-step explanation:

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